{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T09:18:29Z","timestamp":1783156709797,"version":"3.54.6"},"reference-count":33,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,5,7]],"date-time":"2026-05-07T00:00:00Z","timestamp":1778112000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000921","name":"European Cooperation in Science and Technology","doi-asserted-by":"publisher","award":["CA21163"],"award-info":[{"award-number":["CA21163"]}],"id":[{"id":"10.13039\/501100000921","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Approximate Reasoning"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.ijar.2026.109708","type":"journal-article","created":{"date-parts":[[2026,5,7]],"date-time":"2026-05-07T15:31:00Z","timestamp":1778167860000},"page":"109708","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Fuzzy clustering methods for compact sets via star-Shaped formalization"],"prefix":"10.1016","volume":"196","author":[{"given":"Maria Brigida","family":"Ferraro","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gil","family":"Gonz\u00e1lez-Rodr\u00edguez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ana Bel\u00e9n","family":"Ramos-Guajardo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.ijar.2026.109708_bib0001","series-title":"Pattern Recognition with Fuzzy Objective Function Algorithm","author":"Bezdek","year":"1981"},{"key":"10.1016\/j.ijar.2026.109708_bib0002","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1080\/01969727308546046","article-title":"A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters","volume":"3","author":"Dunn","year":"1974","journal-title":"J. Cybern."},{"key":"10.1016\/j.ijar.2026.109708_bib0003","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/S0019-9958(69)90591-9","article-title":"A new approach to clustering","volume":"15","author":"Ruspini","year":"1969","journal-title":"Inf. Control"},{"key":"10.1016\/j.ijar.2026.109708_bib0004","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1109\/TSSC.1969.300263","article-title":"A formulation of fuzzy automata and its application as a model of learning systems","volume":"5","author":"Wee","year":"1969","journal-title":"IEEE Trans. Syst. Sci. Cybern."},{"key":"10.1016\/j.ijar.2026.109708_bib0005","first-page":"110","article-title":"Fuzzy k-Means: history and applications","volume":"30","author":"Ferraro","year":"2024","journal-title":"Econom. Stat."},{"issue":"1","key":"10.1016\/j.ijar.2026.109708_bib0006","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1109\/MCI.2018.2881643","article-title":"Fuzzy clustering: a historical perspective","volume":"14","author":"Ruspini","year":"2019","journal-title":"IEEE Comput. Intell. Mag."},{"key":"10.1016\/j.ijar.2026.109708_bib0007","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/j.csda.2006.04.030","article-title":"Data analysis with fuzzy clustering methods","volume":"51","author":"Doering","year":"2006","journal-title":"Comput. Stat. Data Anal."},{"key":"10.1016\/j.ijar.2026.109708_bib0008","doi-asserted-by":"crossref","first-page":"1496","DOI":"10.1016\/j.csda.2004.12.002","article-title":"A weighted fuzzy c-means clustering model for fuzzy data","volume":"50","author":"D\u2019urso","year":"2006","journal-title":"Comput. Stat. Data Anal."},{"key":"10.1016\/j.ijar.2026.109708_bib0009","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s11634-014-0169-3","article-title":"Trimmed fuzzy clustering for interval-valued data","volume":"9","author":"D\u2019urso","year":"2015","journal-title":"Adv. Data Anal. Classif."},{"key":"10.1016\/j.ijar.2026.109708_bib0010","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.ins.2013.04.008","article-title":"On possibilistic clustering with repulsion constraints for imprecise data","volume":"245","author":"Ferraro","year":"2013","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ijar.2026.109708_bib0011","series-title":"Proc. of IEEE CDC","first-page":"761","article-title":"Fuzzy clustering with a fuzzy covariance matrix","author":"Gustafson","year":"1979"},{"issue":"2","key":"10.1016\/j.ijar.2026.109708_bib0012","first-page":"114","article-title":"Uncertain fuzzy clustering: intervals with examples","volume":"44","author":"Hwang","year":"2007","journal-title":"Int. J. Approx. Reason."},{"key":"10.1016\/j.ijar.2026.109708_bib0013","doi-asserted-by":"crossref","first-page":"1384","DOI":"10.1016\/j.patcog.2007.08.014","article-title":"ECM: an evidential version of the fuzzy C-means algorithm","volume":"41","author":"Masson","year":"2008","journal-title":"Pattern Recognit."},{"key":"10.1016\/j.ijar.2026.109708_bib0014","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.fss.2019.09.010","article-title":"A fuzzy clustering approach for fuzzy data based on a generalized distance","volume":"389","author":"Ramos-Guajardo","year":"2020","journal-title":"Fuzzy Set. Syst."},{"key":"10.1016\/j.ijar.2026.109708_bib0015","series-title":"IEEE Symposium on Computational Intelligence and Data Mining","article-title":"Density-based clustering of polygons","author":"Joshi","year":"2009"},{"issue":"5","key":"10.1016\/j.ijar.2026.109708_bib0016","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1111\/tgis.12124","article-title":"Polygonal clustering analysis using multilevel graph-partition","volume":"19","author":"Wang","year":"2014","journal-title":"Transat. GIS"},{"issue":"2","key":"10.1016\/j.ijar.2026.109708_bib0017","doi-asserted-by":"crossref","first-page":"98","DOI":"10.3390\/ijgi8020098","article-title":"An intuitionistic fuzzy similarity approach for clustering analysis of polygons","volume":"8","author":"Chen","year":"2019","journal-title":"ISPRS Int. J. Geo-Inf."},{"issue":"3","key":"10.1016\/j.ijar.2026.109708_bib0018","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1108\/17563781011066684","article-title":"Detection and separation of generic-shaped objects by fuzzy clustering","volume":"3","author":"Ameer Ali","year":"2010","journal-title":"Int. J. Intell. Comput. Cybern."},{"key":"10.1016\/j.ijar.2026.109708_bib0019","doi-asserted-by":"crossref","DOI":"10.1016\/j.dsp.2022.103901","article-title":"Geometric consistent fuzzy cluster ensemble with membership reconstruction for image segmentation","volume":"134","author":"Shi","year":"2023","journal-title":"Digit. Signal Process."},{"key":"10.1016\/j.ijar.2026.109708_bib0020","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1016\/j.ins.2019.07.100","article-title":"Fuzzy clustering of mixed data","volume":"505","author":"D\u2019urso","year":"2019","journal-title":"Inf. Sci."},{"issue":"1","key":"10.1016\/j.ijar.2026.109708_bib0021","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1006\/aima.1997.1601","article-title":"Invariant valuations on star-shaped sets","volume":"125","author":"Klain","year":"1997","journal-title":"Adv. Math."},{"key":"10.1016\/j.ijar.2026.109708_bib0022","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/j.ijar.2017.10.025","article-title":"A new framework for the statistical analysis of set-valued random elements","volume":"92","author":"Gonz\u00e1lez-Rodr\u00edguez","year":"2018","journal-title":"Int. J. Approx. Reason."},{"key":"10.1016\/j.ijar.2026.109708_bib0023","series-title":"Building Bridges between Soft and Statistical Methodologies for Data Science. Advances in Intelligent Systems and Computing","first-page":"1433","article-title":"On clustering of star-shaped sets with a fuzzy approach: an application to the clasts in the cantabrian coast","author":"Ferraro","year":"2023"},{"key":"10.1016\/j.ijar.2026.109708_bib0024","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1016\/0167-8655(91)90002-4","article-title":"Characterization and detection of noise in clustering","volume":"12","author":"Dav\u00e8","year":"1991","journal-title":"Pattern Recognit. Lett."},{"key":"10.1016\/j.ijar.2026.109708_bib0025","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijar.2025.109575","article-title":"Choosing the center of star-shaped set-valued data compatible with measure-preserving arithmetic","volume":"188","author":"Gonz\u00e1lez-Rodr\u00edguez","year":"2026","journal-title":"Int. J. Approx. Reason."},{"key":"10.1016\/j.ijar.2026.109708_bib0026","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511526282","article-title":"Convex Bodies: the Brunn-Minkowski Theory","author":"Schneider","year":"1993"},{"issue":"6","key":"10.1016\/j.ijar.2026.109708_bib0027","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0217346","article-title":"Tismorph: a tool to quantify texture, irregularity and spreading of single cells","volume":"14","author":"Alizadeh","year":"2019","journal-title":"PLoS ONE"},{"issue":"3","key":"10.1016\/j.ijar.2026.109708_bib0028","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1002\/(SICI)1097-0215(19980504)76:3<418::AID-IJC21>3.0.CO;2-5","article-title":"Establishment and characterization of a murine osteosarcoma cell line (LM8) with high metastatic potential to the lung","volume":"76","author":"Asai","year":"1998","journal-title":"Int. J. Cancer"},{"issue":"28","key":"10.1016\/j.ijar.2026.109708_bib0029","doi-asserted-by":"crossref","first-page":"2650","DOI":"10.1021\/acs.biochem.0c00299","article-title":"Cytoskeletal drugs modulate off-target protein folding landscapes inside cells","volume":"59","author":"Davis","year":"2020","journal-title":"Biochemistry"},{"key":"10.1016\/j.ijar.2026.109708_bib0030","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.ejop.2018.08.006","article-title":"Effect of jasplakinolide and cytochalasin D on cortical elements involved in the gliding motility of the eugregarine Gregarina garnhami (Apicomplexa)","volume":"66","author":"Kov\u00e1\u010dikov\u00e1","year":"2018","journal-title":"Eur. J. Protistol."},{"key":"10.1016\/j.ijar.2026.109708_bib0031","series-title":"Geometric Science of Information","first-page":"583","article-title":"Using a Riemannian elastic metric for statistical analysis of tumor cell shape heterogeneity","author":"Li","year":"2023"},{"key":"10.1016\/j.ijar.2026.109708_bib0032","doi-asserted-by":"crossref","first-page":"2858","DOI":"10.1016\/j.fss.2006.07.006","article-title":"A fuzzy extension of the silhouette width criterion for cluster analysis","volume":"157","author":"Campello","year":"2006","journal-title":"Fuzzy Set. Syst."},{"key":"10.1016\/j.ijar.2026.109708_bib0033","unstructured":"R: a language and environment for statistical computing, in: R Foundation for Statistical Computing, Vienna, Austria, https:\/\/www.R-project.org\/."}],"container-title":["International Journal of Approximate Reasoning"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0888613X26000848?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0888613X26000848?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T08:44:42Z","timestamp":1783154682000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0888613X26000848"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":33,"alternative-id":["S0888613X26000848"],"URL":"https:\/\/doi.org\/10.1016\/j.ijar.2026.109708","relation":{},"ISSN":["0888-613X"],"issn-type":[{"value":"0888-613X","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Fuzzy clustering methods for compact sets via star-Shaped formalization","name":"articletitle","label":"Article Title"},{"value":"International Journal of Approximate Reasoning","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ijar.2026.109708","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Author(s). Published by Elsevier Inc.","name":"copyright","label":"Copyright"}],"article-number":"109708"}}